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Finding the Third Proportional to 375,528 and 835,016

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Solution

The third proportional to 375,528 and 835,016 is: 1,856,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,528 : 835,016 = 835,016 : x
  2. Step 2: Convert to fraction form
    375,528/835,016 = 835,016/x
  3. Step 3: Cross multiply
    375,528x = 835,016 × 835,016
  4. Step 4: Simplify right side
    375,528x = 697,251,720,256
  5. Step 5: Solve for x
    x = 697,251,720,256/375,528
  6. Step 6: Final answer
    x = 1,856,723.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.